Metrics for ENA, Section 1.4, Exercise 4b, n=2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 25 to 18 computations (28% saved)

sample1.8s (50.2%)

Memory

77.4MiB live, 2 282.6MiB allocated; 428ms collecting garbage

Samples

561.0ms	5 099×	0	valid
540.0ms	2 584×	1	valid
153.0ms	573×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-pow2: 451.0ms (43.4% of total)

adjust: 167.0ms (16.1% of total)

ival-add: 136.0ms (13.1% of total)

ival-<=: 130.0ms (12.5% of total)

ival-sub: 112.0ms (10.8% of total)

ival-and: 23.0ms (2.2% of total)

exact: 16.0ms (1.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain140.0ms (3.9%)

Memory

2.9MiB live, 105.7MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
71	-	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	-	-	`eps`
0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	-	-	`(+.f64 x eps)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	cancellation	71	0

Confusion

	Predicted +	Predicted -
+	71	0
-	0	185

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	0	0	185

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	185
1	71

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

24.0ms	148×	1	valid
19.0ms	330×	0	valid
6.0ms	34×	2	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-pow2: 19.0ms (57.9% of total)

adjust: 5.0ms (15.2% of total)

ival-add: 4.0ms (12.2% of total)

ival-sub: 3.0ms (9.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess205.0ms (5.7%)

Memory

-38.3MiB live, 189.5MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	34	60
2	118	60
3	553	58
4	1771	44
5	5314	44
0	7	9
0	11	9
1	16	9
2	44	9
3	157	9
4	570	7
5	1812	7
0	8588	6

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.5%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series15.0ms (0.4%)

Memory

-17.1MiB live, 23.7MiB allocated; 11ms collecting garbage

Counts

7 → 29

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow (+ x eps) 2) (+ x eps) x eps 2 (pow x 2))

simplify225.0ms (6.3%)

Memory

14.6MiB live, 302.9MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	421
1	273	407
2	926	383
3	4057	383
0	8216	370

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2))))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow eps 2)))
#s(approx (pow (+ x eps) 2) (*.f64 eps eps))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (pow (+ x eps) 2) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* x (+ x (* 2 eps))) (pow eps 2))))
#s(approx (pow (+ x eps) 2) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (pow x 2) (*.f64 x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (+ x eps) 2) (*.f64 x x))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ eps x))))))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))))
#s(approx (pow (+ x eps) 2) (.f64 (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ x eps) #s(hole binary64 x))
#s(approx (+ x eps) x)
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x)))))
#s(approx (+ x eps) (fma.f64 (/.f64 eps x) x x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))))
#s(approx (pow (+ x eps) 2) (.f64 (fma.f64 (/.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* 2 (* eps x)) (pow x 2))))
#s(approx (pow (+ x eps) 2) (*.f64 (fma.f64 #s(literal 2 binary64) eps x) x))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (+ (* eps (+ eps (* 2 x))) (pow x 2))))
#s(approx (pow (+ x eps) 2) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
#s(approx eps #s(hole binary64 eps))
#s(approx eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (pow (+ x eps) 2) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))))
#s(approx (pow (+ x eps) 2) (.f64 (fma.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ x eps) (fma.f64 (/.f64 x eps) eps eps))
#s(approx (pow (+ x eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))))
#s(approx (pow (+ x eps) 2) (.f64 (fma.f64 (/.f64 x eps) (-.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 eps eps)))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))

rewrite59.0ms (1.6%)

Memory

7.0MiB live, 52.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	51	23
0	386	23

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

7 → 63

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))

Outputs
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (pow.f64 (+.f64 eps x) #s(literal 4 binary64)))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (+.f64 eps x)))
(*.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (+.f64 eps x)))
(*.f64 (exp.f64 (log.f64 (+.f64 eps x))) (exp.f64 (log.f64 (+.f64 eps x))))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (exp.f64 (log.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 eps x)) (fma.f64 eps (-.f64 eps x) (.f64 x x)))
(/.f64 (.f64 (+.f64 eps x) (.f64 (+.f64 eps x) (-.f64 x eps))) (-.f64 x eps))
(/.f64 (.f64 (+.f64 eps x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps x) (.f64 x x)))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (.f64 (+.f64 eps x) (-.f64 x eps))) (.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 x eps) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 eps x) (-.f64 x eps))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (-.f64 x eps)))
(/.f64 (.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 eps (+.f64 eps x) (*.f64 x (+.f64 eps x)))
(fma.f64 x (+.f64 eps x) (*.f64 eps (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (.f64 eps (+.f64 eps x)) (.f64 x (+.f64 eps x)))
(+.f64 (.f64 x (+.f64 eps x)) (.f64 eps (+.f64 eps x)))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) x))
(+.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) eps))
(+.f64 (cosh.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (-.f64 eps x))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(+.f64 eps x)
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval9.0ms (0.2%)

Memory: 12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 468 to 287 computations (80.4% saved)

prune13.0ms (0.4%)

Memory

-35.4MiB live, 8.6MiB allocated; 9ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Accuracy

100.0%

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	99.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
▶	88.6%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
▶	64.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
▶	73.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 166 to 116 computations (30.1% saved)

series19.0ms (0.5%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

22 → 59

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
(.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
(-.f64 (/.f64 eps x) #s(literal -2 binary64))
(/.f64 eps x)
#s(literal -2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
(.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 x eps)
#s(literal 1 binary64)

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* eps x) 2) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (- (/ eps x) -2) #s(hole binary64 (/ eps x)))
#s(approx (- (/ eps x) -2) #s(hole binary64 (/ (+ eps (* 2 x)) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (+ 1 (* 2 (/ x eps)))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (/ eps x) -2) #s(hole binary64 2))
#s(approx (- (/ eps x) -2) #s(hole binary64 (+ 2 (/ eps x))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* 2 (/ x eps))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* x (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (/ (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (- (/ eps x) -2) #s(hole binary64 (* eps (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2) (/ eps x) -2 (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
4.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2) (/ eps x) -2 (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
3.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2) (/ eps x) -2 (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
3.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2) (/ eps x) -2 (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)
2.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) 2 x eps (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) (- (/ eps x) -2)) (- (/ eps x) -2) (/ eps x) -2 (- (pow (+ x eps) 2) (pow x 2)) (* (* (+ (* (/ x eps) 2) 1) eps) eps) (* (+ (* (/ x eps) 2) 1) eps) (+ (* (/ x eps) 2) 1) (/ x eps) 1)

simplify161.0ms (4.5%)

Memory

28.8MiB live, 253.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	761
1	265	761
2	696	755
3	2682	699
4	6813	699
0	8677	619

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 59

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* eps x) 2) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (- (/ eps x) -2) #s(hole binary64 (/ eps x)))
#s(approx (- (/ eps x) -2) #s(hole binary64 (/ (+ eps (* 2 x)) x)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 eps))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (+ 1 (* 2 (/ x eps)))))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (/ eps x) -2) #s(hole binary64 2))
#s(approx (- (/ eps x) -2) #s(hole binary64 (+ 2 (/ eps x))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* 2 x)))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* 2 (/ x eps))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* x (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx eps #s(hole binary64 eps))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (/ (+ eps (* 2 x)) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (- (/ eps x) -2) #s(hole binary64 (* eps (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 eps eps))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (* (* eps x) 2) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (* eps x) 2) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* eps x) #s(hole binary64 (* eps x)))
#s(approx (* eps x) (*.f64 eps x))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 eps eps))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (/ eps x) -2) #s(hole binary64 (/ eps x)))
#s(approx (- (/ eps x) -2) (/.f64 eps x))
#s(approx (- (/ eps x) -2) #s(hole binary64 (/ (+ eps (* 2 x)) x)))
#s(approx (- (/ eps x) -2) (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
#s(approx (/ eps x) #s(hole binary64 (/ eps x)))
#s(approx (/ eps x) (/.f64 eps x))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (pow eps 2)))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 eps eps))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 eps))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (+ eps (* 2 x))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 1))
#s(approx (+ (* (/ x eps) 2) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (+ 1 (* 2 (/ x eps)))))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (/ x eps) #s(hole binary64 (/ x eps)))
#s(approx (/ x eps) (/.f64 x eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 x) eps) eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 x) eps) eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 x) eps) eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (/ eps x) -2) #s(hole binary64 2))
#s(approx (- (/ eps x) -2) #s(literal 2 binary64))
#s(approx (- (/ eps x) -2) #s(hole binary64 (+ 2 (/ eps x))))
#s(approx (- (/ eps x) -2) (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ (* 2 x) eps) eps) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) eps) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* x (+ 2 (/ eps x)))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* 2 (/ x eps))))
#s(approx (+ (* (/ x eps) 2) 1) (*.f64 (/.f64 x eps) #s(literal 2 binary64)))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (* x (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx eps #s(hole binary64 eps))
#s(approx eps eps)
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (/ x eps) 2) 1) #s(hole binary64 (/ (+ eps (* 2 x)) eps)))
#s(approx (+ (* (/ x eps) 2) 1) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* 2 x) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (* (* eps x) (- (/ eps x) -2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (/ eps x) -2) #s(hole binary64 (* eps (+ (* 2 (/ 1 eps)) (/ 1 x)))))
#s(approx (- (/ eps x) -2) (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
#s(approx (* (* (+ (* (/ x eps) 2) 1) eps) eps) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (* (+ (* 2 x) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (* (+ (* (/ x eps) 2) 1) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))

rewrite119.0ms (3.3%)

Memory

-56.6MiB live, 101.6MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	153
0	40	153
1	143	153
0	990	153

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 153

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
(.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
(-.f64 (/.f64 eps x) #s(literal -2 binary64))
(/.f64 eps x)
#s(literal -2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
(.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps)
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 x eps)
#s(literal 1 binary64)

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) eps) (-.f64 (.f64 #s(literal 2 binary64) x) eps))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 eps (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (-.f64 (.f64 #s(literal 2 binary64) x) eps))
(/.f64 (.f64 eps (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 eps #s(literal 2 binary64)) x (.f64 eps eps))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) eps (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 eps eps))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 x (.f64 eps #s(literal 2 binary64)) (.f64 eps eps))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 eps (.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (neg.f64 eps) eps)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (/.f64 (.f64 eps eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(-.f64 eps (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 eps x))
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) eps)
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 eps eps)
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(neg.f64 (*.f64 eps (neg.f64 eps)))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(.f64 (.f64 eps #s(literal 2 binary64)) x)
(.f64 (.f64 #s(literal 2 binary64) eps) x)
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 eps #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(fma.f64 #s(literal 1 binary64) (.f64 eps x) (.f64 #s(literal 1 binary64) (*.f64 eps x)))
(fma.f64 (.f64 eps x) #s(literal 1 binary64) (.f64 (*.f64 eps x) #s(literal 1 binary64)))
(fma.f64 eps x (*.f64 eps x))
(fma.f64 x eps (*.f64 eps x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 eps x)) (.f64 #s(literal 1 binary64) (.f64 eps x)))
(+.f64 (.f64 (.f64 eps x) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1 binary64)))
(+.f64 (.f64 eps x) (.f64 eps x))
(*.f64 eps x)
(*.f64 x eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps) x))
(.f64 (.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) eps) x)
(.f64 (.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x) eps)
(.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) (.f64 eps x))
(.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64)))
(.f64 eps (.f64 (-.f64 (/.f64 eps x) #s(literal -2 binary64)) x))
(.f64 x (.f64 eps (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 eps x)) (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -8 binary64)) (.f64 eps x)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 eps x)) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 eps x) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(/.f64 (.f64 (.f64 eps x) (-.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 eps x)) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 eps x)) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 eps x)) (pow.f64 (/.f64 eps x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 eps x))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 eps x))))
(-.f64 (/.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 eps x)) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 eps x)) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)))))
(-.f64 (/.f64 eps x) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 eps) (neg.f64 x))
(/.f64 eps x)
(neg.f64 (/.f64 (neg.f64 eps) x))
(neg.f64 (/.f64 eps (neg.f64 x)))
#s(literal -2 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
(.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps)
(.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) (.f64 eps eps))
(.f64 (.f64 eps eps) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)))
(.f64 eps (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 eps eps)) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (.f64 eps eps)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 x eps) #s(literal 2 binary64))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps)
(*.f64 eps (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) eps) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) eps) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 eps (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) eps (.f64 #s(literal 1 binary64) eps))
(fma.f64 #s(literal 1 binary64) eps (.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) eps))
(fma.f64 eps (.f64 (/.f64 x eps) #s(literal 2 binary64)) (.f64 eps #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (.f64 eps (.f64 (/.f64 x eps) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) eps) (*.f64 #s(literal 1 binary64) eps))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) eps))
(+.f64 (.f64 eps (.f64 (/.f64 x eps) #s(literal 2 binary64))) (*.f64 eps #s(literal 1 binary64)))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps (*.f64 (/.f64 x eps) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 x eps) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64) (.f64 eps #s(literal 2 binary64))) (*.f64 eps #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) eps (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2 binary64) eps))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 x eps) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 x eps) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 x eps)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x eps)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 x eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x eps) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x eps) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 eps)))
(/.f64 (neg.f64 x) (neg.f64 eps))
(/.f64 x eps)
(neg.f64 (/.f64 (neg.f64 x) eps))
(neg.f64 (/.f64 x (neg.f64 eps)))
#s(literal 1 binary64)

eval21.0ms (0.6%)

Memory: 5.1MiB live, 50.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 376 to 618 computations (85.9% saved)

prune9.0ms (0.3%)

Memory

25.8MiB live, 25.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	200	3	203
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	203	5	208

Accuracy

100.0%

Counts

208 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps #s(literal 2 binary64)) x (.f64 eps eps)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	64.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
✓	73.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 80 to 55 computations (31.3% saved)

series16.0ms (0.5%)

Memory

-26.2MiB live, 23.5MiB allocated; 7ms collecting garbage

Counts

13 → 28

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
(.f64 (.f64 eps #s(literal 2 binary64)) x)
(*.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps)))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps))
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(*.f64 #s(literal 2 binary64) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps #s(literal 2 binary64)) x (.f64 eps eps)))
(fma.f64 (.f64 eps #s(literal 2 binary64)) x (.f64 eps eps))
(*.f64 eps eps)

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (* eps 2) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (* 2 x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* eps 2) #s(hole binary64 (* 2 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) eps 2 x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (* 2 x) eps)) (* (* 2 x) eps) (* 2 x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (* eps 2) x) (* eps eps)) (* eps eps))
1.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) eps 2 x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (* 2 x) eps)) (* (* 2 x) eps) (* 2 x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (* eps 2) x) (* eps eps)) (* eps eps))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) eps 2 x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (* 2 x) eps)) (* (* 2 x) eps) (* 2 x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (* eps 2) x) (* eps eps)) (* eps eps))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) eps 2 x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (* 2 x) eps)) (* (* 2 x) eps) (* 2 x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (* eps 2) x) (* eps eps)) (* eps eps))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) eps 2 x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (* 2 x) eps)) (* (* 2 x) eps) (* 2 x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (* eps 2) x) (* eps eps)) (* eps eps))

simplify179.0ms (5%)

Memory

26.1MiB live, 211.9MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	400
1	150	400
2	442	400
3	1658	358
4	7124	358
0	8339	322

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (* eps 2) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (* 2 x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* eps 2) #s(hole binary64 (* 2 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (* eps 2) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (* eps 2) x) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 eps eps))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (* 2 x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (* eps 2) x) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 eps eps))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* eps 2) #s(hole binary64 (* 2 eps)))
#s(approx (* eps 2) (*.f64 #s(literal 2 binary64) eps))
#s(approx eps #s(hole binary64 eps))
#s(approx eps eps)
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* eps eps) (* (* 2 x) eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* (* eps 2) x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (* eps 2) x) (* eps eps)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))

rewrite56.0ms (1.6%)

Memory

10.6MiB live, 55.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
0	24	85
1	111	85
0	815	81

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

13 → 168

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
(.f64 (.f64 eps #s(literal 2 binary64)) x)
(*.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps)))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps))
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(*.f64 #s(literal 2 binary64) x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps #s(literal 2 binary64)) x (.f64 eps eps)))
(fma.f64 (.f64 eps #s(literal 2 binary64)) x (.f64 eps eps))
(*.f64 eps eps)

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(.f64 (.f64 #s(literal 2 binary64) eps) x)
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(fma.f64 eps x (*.f64 eps x))
(fma.f64 x eps (*.f64 eps x))
(+.f64 (.f64 eps x) (.f64 eps x))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 1 binary64) eps))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 1 binary64) eps))
(+.f64 (.f64 eps #s(literal 1 binary64)) (.f64 eps #s(literal 1 binary64)))
(+.f64 eps eps)
eps
#s(literal 2 binary64)
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 eps)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 #s(literal -2 binary64) x) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))) (neg.f64 (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) eps (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) eps (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 eps eps))
(fma.f64 eps eps (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(-.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x))
(-.f64 (.f64 eps eps) (.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 eps) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) eps)))
(-.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal -2 binary64) x) eps))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 eps)))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps)))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))))
(+.f64 (.f64 eps eps) (.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) eps) x))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) eps))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 eps eps))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(.f64 (.f64 #s(literal 2 binary64) eps) x)
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(fma.f64 eps x (*.f64 eps x))
(fma.f64 x eps (*.f64 eps x))
(+.f64 (.f64 eps x) (.f64 eps x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 x x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 eps)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 #s(literal -2 binary64) x) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 eps) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))) (neg.f64 (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) eps (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (pow.f64 eps #s(literal 1 binary64)) eps (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 eps eps))
(fma.f64 eps eps (.f64 (neg.f64 (.f64 #s(literal -2 binary64) x)) eps))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 (neg.f64 (neg.f64 eps)) eps))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(-.f64 (/.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) eps)) x))
(-.f64 (.f64 eps eps) (.f64 #s(literal -2 binary64) (*.f64 eps x)))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 eps) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) eps)))
(-.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal -2 binary64) x) eps))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 eps)))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (fabs.f64 eps)) (fabs.f64 eps)))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 eps eps) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 4 binary64)))))
(+.f64 (.f64 eps eps) (.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) eps) x))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 (neg.f64 eps)) eps))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 eps eps))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) eps)
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 eps eps)
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))

eval17.0ms (0.5%)

Memory: -15.1MiB live, 30.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 911 to 381 computations (86.9% saved)

prune5.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	3	0	3
Done	0	2	2
Total	137	5	142

Accuracy

100.0%

Counts

142 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	64.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
✓	73.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 80 to 52 computations (35% saved)

series7.0ms (0.2%)

Memory

11.9MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

12 → 28

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
(*.f64 (+.f64 eps eps) x)
(+.f64 eps eps)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(*.f64 eps eps)

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ eps eps) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ eps eps) #s(hole binary64 (* 2 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) eps x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (+ x x) eps)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (* eps eps))
1.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) eps x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (+ x x) eps)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (* eps eps))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) eps x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (+ x x) eps)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (* eps eps))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) eps x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (+ x x) eps)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (* eps eps))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ eps eps) x) (+ eps eps) eps x (- (pow (+ x eps) 2) (pow x 2)) (+ (* eps eps) (* (+ x x) eps)) (* (+ x x) eps) (+ x x) (- (pow (+ x eps) 2) (pow x 2)) (+ (* (+ eps eps) x) (* eps eps)) (* eps eps))

simplify173.0ms (4.8%)

Memory

-29.2MiB live, 204.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	424
1	156	400
2	451	400
3	1674	358
4	7129	358
0	8010	322

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ eps eps) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ eps eps) #s(hole binary64 (* 2 eps)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ eps eps) x) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ eps eps) x) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx x #s(hole binary64 x))
#s(approx x x)
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 eps eps))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* (+ x x) eps) #s(hole binary64 (* 2 (* eps x))))
#s(approx (* (+ eps eps) x) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (pow eps 2)))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 eps eps))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (+ (* 2 (* eps x)) (pow eps 2))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* 2 (* eps x))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* x (+ (* 2 eps) (/ (pow eps 2) x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ eps eps) #s(hole binary64 (* 2 eps)))
#s(approx (+ eps eps) (*.f64 #s(literal 2 binary64) eps))
#s(approx eps #s(hole binary64 eps))
#s(approx eps eps)
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* eps (+ eps (* 2 x)))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* eps eps) (* (+ x x) eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2 (/ x eps))))))
#s(approx (+ (* (+ eps eps) x) (* eps eps)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))

rewrite22.0ms (0.6%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	88
0	24	86
0	115	86

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

12 → 42

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
(*.f64 (+.f64 eps eps) x)
(+.f64 eps eps)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 (+.f64 x x) eps)
(+.f64 x x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(*.f64 eps eps)

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(.f64 (.f64 #s(literal 2 binary64) eps) x)
(.f64 x (.f64 #s(literal 2 binary64) eps))
(*.f64 #s(literal 2 binary64) eps)
(/.f64 (-.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 eps eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 eps eps) (.f64 eps eps))))
(+.f64 eps eps)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 (.f64 #s(literal 2 binary64) x) eps))) (-.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (+.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 eps eps) (.f64 eps eps) (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 (.f64 #s(literal 2 binary64) x) eps)) (.f64 (.f64 eps eps) (.f64 (.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 eps eps))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps))
(-.f64 (.f64 eps eps) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) x) eps))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(.f64 eps (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(+.f64 x x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 (.f64 #s(literal 2 binary64) eps) x)) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 (.f64 eps eps) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 (.f64 #s(literal 2 binary64) eps) x) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (.f64 eps eps)))))
(fma.f64 (neg.f64 eps) (neg.f64 eps) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (fabs.f64 eps) (fabs.f64 eps) (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) eps) x))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(-.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 (neg.f64 eps) eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) eps) x))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) eps) x) (*.f64 eps eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 eps eps)
(pow.f64 eps #s(literal 2 binary64))

eval7.0ms (0.2%)

Memory: 7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 614 to 202 computations (87.5% saved)

prune5.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	79	5	84

Accuracy

100.0%

Counts

84 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	64.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
✓	73.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 274 to 101 computations (63.1% saved)

regimes23.0ms (0.6%)

Memory

-40.2MiB live, 19.0MiB allocated; 17ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps #s(literal 2 binary64)) x (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) (-.f64 (/.f64 eps x) #s(literal -2 binary64))))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps) eps))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)))

Calls

3 calls:

15.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
3.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 eps eps (*.f64 (+.f64 x x) eps)))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))

Calls

3 calls:

2.0ms	eps
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 eps eps) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Calls

3 calls:

2.0ms	eps
2.0ms	x
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.0%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
92.6%	3	`x`
84.0%	3	`eps`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Calls

3 calls:

1.0ms	x
1.0ms	eps
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
73.4%	1	`eps`
73.4%	1	`x`
73.4%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.4e-323

Compiler

Compiled 12 to 12 computations (0% saved)

simplify69.0ms (1.9%)

Memory

-19.4MiB live, 26.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	87
1	31	87
2	62	87
3	181	87
4	606	77
5	2081	77
6	7836	77

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (+.f64 eps eps) x)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (+.f64 eps eps) x (*.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (+.f64 eps eps) x)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

derivations175.0ms (4.9%)

Memory

18.3MiB live, 63.3MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 87 to 25 computations (71.3% saved)

preprocess20.0ms (0.5%)

Memory: 21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 192 to 64 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (50.2%)

explain140.0ms (3.9%)

preprocess205.0ms (5.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series15.0ms (0.4%)

simplify225.0ms (6.3%)

rewrite59.0ms (1.6%)

eval9.0ms (0.2%)

prune13.0ms (0.4%)

series19.0ms (0.5%)

simplify161.0ms (4.5%)

rewrite119.0ms (3.3%)

eval21.0ms (0.6%)

prune9.0ms (0.3%)

series16.0ms (0.5%)

simplify179.0ms (5%)

rewrite56.0ms (1.6%)

eval17.0ms (0.5%)

prune5.0ms (0.1%)

series7.0ms (0.2%)

simplify173.0ms (4.8%)

rewrite22.0ms (0.6%)

eval7.0ms (0.2%)

prune5.0ms (0.2%)

regimes23.0ms (0.6%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

simplify69.0ms (1.9%)

derivations175.0ms (4.9%)

preprocess20.0ms (0.5%)

end0.0ms (0%)

Profiling